A193528 Numbers k such that the quartic elliptic curve y^2 = 5x^4 + 4k does not have integer solutions.

2, 3, 6, 7, 8, 10, 12, 13, 14, 15, 17, 18, 20, 21, 22, 23, 24, 26, 27, 28, 30, 32, 33, 34, 35, 37, 38, 39, 40, 42, 43, 45, 46, 47, 48, 50, 51, 52, 53, 54, 56, 57, 58, 60, 62, 63, 65, 66, 67, 68, 69, 70, 72, 73, 74, 75, 76, 77, 78, 82, 83, 84, 85, 86, 87, 88

Offset

1,1

Comments

For such k, quintic trinomial x^5-k*x+m is not reducible into cubic and quadratic factors for any integer m.

Links

Table of n, a(n) for n=1..66.

Crossrefs

Cf. A193524.

Sequence in context: A332021 A047560 A032899 * A232681 A296350 A076436

Adjacent sequences: A193525 A193526 A193527 * A193529 A193530 A193531

Keyword

nonn

Author

Artur Jasinski, Jul 29 2011

Extensions

Definition corrected by Harvey P. Dale, Mar 25 2012

Status

approved